Calculate the index of refraction nr of the indicated refractive medium given the following assumptions:

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28-10-2022
Mathematics

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Calculate the index of refraction nr of the indicated refractive medium given the following assumptions:

$Calculate the index of refraction nr of the indicated refractive medium given the following assumptions class=$

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YomarC443797 YomarC443797 · Answer 1 · 2022-10-28T07:44:35+02:00

Given:

[tex]\begin{gathered} n_i=1.00 \\ \theta_i=60\degree \\ \theta_r=18.5\degree \end{gathered}[/tex]

Required:

To find the value of nr.

Explanation:

The Snell's law is

[tex]\begin{gathered} n_i\sin\theta_i=n_r\sin\theta_r \\ \\ n_r=\frac{n_i\sin\theta i}{\sin\theta_r} \\ \\ =\frac{1.00\times\sin60}{\sin18.5} \\ \\ =\frac{1\times0.8660}{0.3173} \\ \\ =2.7292 \\ \\ n_r=2.73 \end{gathered}[/tex]